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Chapter 10: Q.16 (page 540)

Find the unknown side length of the triangle given the perimeter P. Then classify the triangle by its side lengths.

P=22.5yd

Short Answer

Expert verified

The length of the other two sides is 8.1yd each.

The triangle is an isosceles triangle.

Step by step solution

01

Step 1. Given Information.

Perimeter of the triangle is22.5yd.

Length of one side is6.3yd.

Length of remaining two sides is same.

02

Step 2. Calculation.

Let the length of one side of triangle be x.

Since two sides of the triangle are same.

x+x+6.3=22.5

Now add both x together.

2x+6.3=22.5

Subtract 6.3 from both the sides.

2x+6.3-6.3=22.5-6.3

This gives us,

2x=16.2

Now, divide both sides by 2.

2x2=16.22

This gives us,

x=8.1

Both the sides of the triangle are 8.1yd each.

03

Step 3. Conclusion.

The length of the unknown side is 8.1yd each.

Since, two sides of the triangle are same and one is different it is an isosceles triangle.

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